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As the residual interaction of quantum chromodynamics in low-energy region,the nucleon-nucleon (NN) potential can only be exactly described by the modelpicture now. In the Bonn potential, one of the most well-known NN interactionmodels, the nucleons interact with each other through exchanging the pion andseveral heavier mesons, where the pion plays an essential role. It provides apartial contribution of tensor force in the intermediate-range region and themain component in the long-range region in NN potential. However, it is verydifficult to be treated in the nuclear many-body system due to its pseudovectoror pseudoscalar property. Recently, three high-precision charge-dependent Bonnpotentials were proposed with pseudovector coupling types and differentpion-nucleon coupling strengths and applied them to study the properties ofnuclear matter and neutron stars in the non-relativistic and relativisticframeworks. Furthermore, to properly deal with the strong short-range repulsionand tensor force of the NN potential, some new relativistic {\it ab initio}methods have also been developed in the past decade to discuss the role of pionand relativistic effects in nuclear matter.

Pion Exchange Interaction in Bonn Potential and Relativistic and Non-relativistic Framework in Nuclear Matter